Write an Equation for a Sine Curve That Has the Given

Write an equation for a sine curve that has the given amplitude and period, and which passes through the given point.
-Amplitude 6, period $\pi / 6$ , point $( 1 / 4,0 )$

A) $y = 6 \sin \left( \frac { \pi } { 6 } x - \frac { \pi } { 4 } \right)$
B) $y = 6 \sin ( 12 x - 3 )$
C) $y = 6 \sin \left( 12 x - \frac { \pi } { 4 } \right)$
D) $y = 6 \sin \left( 6 x - \frac { 3 } { 2 } \right)$

Correct Answer:

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